Question

What is the measure of angle A to the nearest degree

Answer 1

Sin A = 56/75
A = sin^-1 (56/75) = 48.30 degrees

Answer 2

Answer:

$A\approx 48^o$

Step-by-step explanation:

We have been given an image of a right triangle and we are asked to find the measure of angle A of our given triangle.

We can see that hypotenuse and opposite side to angle A is given. Since sine represents the relation between opposite and hypotenuse of a right triangle, so we will use sine to find the measure of angle A.

$\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

Upon substituting our given values in above relation we will get,

$\text{Sin A}=\frac{56}{75}$

$A=\text{Sin}^{-1}(\frac{56}{75})$

$A=48.302453396837^o$

Upon rounding our answer to nearest degree we will get,

$A\approx 48^o$

Therefore, the measure of angle A to the nearest degree is 48 degrees.